Water is being pumped into an inverted conical tank at some constant rate. the tank has a height of 600 cm and the diameter of the tank across the top is 400 cm. if the water level is rising at a rate of 20 cm/min when the height of the water is 200 cm, find the rate at which water is being pumped into the tank. (round your answer to the nearest integer.)
cm3/min

The water is being pumped at a speed of

Step-by-step explanation:

By congruence of triangles, the radius r of the cone base when its height is 200 cm satisfies the relation

r/200 = 400/600

So, r = 400/3 cm when the water is 200 cm high.

The volume of a cone with radius of the base = R is given by

So, the volume of water when it is 200 cm high is

One minute later, the height of the water is 200 cm + 20 cm = 220 cm

The radius now satisfies

r/220 = 400/600

and now the radius of the base is

r = 440/3

and the new volume of water is  

So, the water is raising (being pumped) at a rate (speed) of

b

step-by-step explanation:

both the histogram and the stem and leaf plot will visually show how many shoppers were of various ages within each range of data.   the histogram does not give us the specific ages of these shoppers unlike the stem and leaf plot.a histogram does not give us a true range of the data because we do not know exactly how old the shoppers were. a stem and leaf plot will give exact ages, so we can determine the exact range along with all measures of center and the others measures of center.   with the histogram, we cannot find any of these.

step-by-step explanation: